Results 41 to 50 of about 649,766 (178)
Fractal and Fractional, 2023 Local convergence of order three has been established for the Newton–Simpson method (NS), provided that derivatives up to order four exist. However, these derivatives may not exist and the NS can converge.
Santhosh George +4 more
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Extensions to Extended Tight-Binding Methods for Transition-Metal Containing Systems. [PDF]
J Comput ChemWe present a new GFN2‐xTB implementation with a geometric direct minimization scheme and a Hubbard‐U correction. We demonstrate that the Hubbard correction improves linearity of the elctronic energy, stabilizes SCF convergence, and enables more accurate spin‐gap predictions in narrow application domains such as specific iron‐containing complexes ...
Moradi S +3 more
europepmc +2 more sources
Convergence of a Two-Step Iterative Method for Nondifferentiable Operators in Banach Spaces
Complexity, 2018 The semilocal and local convergence analyses of a two-step iterative method for nonlinear nondifferentiable operators are described in Banach spaces. The recurrence relations are derived under weaker conditions on the operator. For semilocal convergence,
Abhimanyu Kumar +3 more
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Semilocal convergence of secant-like methods for differentiable and nondifferentiable operator equations [PDF]
, 2013 From well-known secant-like methods, we observe that we can construct a new family of secant-like methods that includes the secant method and Kurchatov's method. We analyse the local orders of convergence and the efficiencies of the methods of the family
Ezquerro, J.A. [0000-0001-8120-167X] +3 more
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Auxiliary point on the semilocal convergence of Newton’s method
Journal of Computational and Applied Mathematics, 2019 We use an auxiliary point in the analysis of the semilocal convergence of Newton’smethod under center conditions on high order derivatives of the operator involved anduse the majorant principle of Kantorovich to do it.
J. A. Ezquerro, M. A. Hernández-Verón
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A general semilocal convergence result for Newton's method under centered conditions for the second derivative [PDF]
, 2012 From Kantorovich’s theory we present a semilocal convergence result for Newton’s method which is based mainly on a modification of the condition required to the second derivative of the operator involved.
Hernández, Miguel Ángel +8 more
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On a new semilocal convergence analysis for the Jarratt method [PDF]
Journal of Inequalities and Applications, 2013 AbstractWe develop a new semilocal convergence analysis for the Jarratt method. Through our new idea of recurrent functions, we develop new sufficient convergence conditions and tighter error bounds. Numerical examples are also provided in this study.MSC:65H10, 65G99, 65J15, 47H17, 49M15.
Argyros, Ioannis K +2 more
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A semilocal convergence analysis for directional Newton methods [PDF]
Mathematics of Computation, 2010 A semilocal convergence analysis for directional Newton methods in n n -variables is provided in this study.
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On Newton's method for subanalytic equations
Journal of Numerical Analysis and Approximation Theory, 2017 We present local and semilocal convergence results for Newton’s method in order to approximate solutions of subanalytic equations. The local convergence results are given under weaker conditions than in earlier studies such as [9], [10], [14], [15], [24]
Ioannis K. Argyros, Santhosh George
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Semilocal Milnor K-theory [PDF]
, 2022 In this paper, semilocal Milnor $K$-theory of fields is introduced and studied. A strongly convergent spectral sequence relating semilocal Milnor $K$-theory to semilocal motivic cohomology is constructed.
Grigory Garkusha, Garkusha, Grigory
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